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34442120420 = 22519646914011
BaseRepresentation
bin100000000100111010…
…010000110011100100
310021220022221000000122
4200010322100303210
51031014140323140
623453354101112
72326336123151
oct400472206344
9107808830018
1034442120420
1113674751934
12681271a798
13332b784b16
14194a3a9228
15d68ad2ab5
hex804e90ce4

34442120420 has 48 divisors (see below), whose sum is σ = 76152417600. Its totient is φ = 13048801920.

The previous prime is 34442120381. The next prime is 34442120441. The reversal of 34442120420 is 2402124443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34442120420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451215 + ... + 2465225.

It is an arithmetic number, because the mean of its divisors is an integer number (1586508700).

Almost surely, 234442120420 is an apocalyptic number.

It is an amenable number.

34442120420 is an abundant number, since it is smaller than the sum of its proper divisors (41710297180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34442120420 is a wasteful number, since it uses less digits than its factorization.

34442120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20508 (or 20506 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 34442120420 its reverse (2402124443), we get a palindrome (36844244863).

The spelling of 34442120420 in words is "thirty-four billion, four hundred forty-two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 6469 12938 14011 25876 28022 32345 56044 64690 70055 122911 129380 140110 245822 266209 280220 491644 532418 614555 1064836 1229110 1331045 2458220 2662090 5324180 90637159 181274318 362548636 453185795 906371590 1722106021 1812743180 3444212042 6888424084 8610530105 17221060210 34442120420